Influence of solar radiation on mango fruit growth and its biological
optimum (Mangifera indica ) through regression in Cerecita exporting zone,
Guayas Province
Influencia de la radiación solar sobre el crecimiento de frutos de mango y su optimo
biológico (Mangifera indica ) a través de regresión en Cerecita zona exportadora, Provincia
del Guayas
Wilmer Baque-Bustamante
Master's degree, Universidad Agraria del Ecuador, Guayaquil-
Ecuador, wbaque@uagraria.edu.ec https://orcid.org/0000-
0002-5604-2192
Jorge Peralta
Master's Degree, Universidad Agraria del Ecuador, Guayaquil-
Ecuador jperalta@uagraria.edu.ec https://orcid.org/0000-0002-
7280-9445
Moise Woozberley
Master, Universidad Agraria del Ecuador. Guayaquil-Ecuador.
moisewoozbelrey@gmail.com https://orcid.org/0000-0002-
8598-0954
Antonio Álava
Master, Agrarian University of Ecuador. Guayaquil-Ecuador
aalava@uagraria.edu.ec, https://orcid.org/0000-0002-9786-
7879
Abstract
This research work analyzed the influence of solar radiation on the growth of mango fruits
(Mangifera indica L.) in the province of Guayas. This project was carried out in the following
mango exporting zones of the Tommy Atkins variety: Balzar - Producer A, Nobol: Producer B
and C, Palestina - Producer D and Cerecita: Producer E, F and G, where only the information
particular to Cerecita was analyzed. The methodology was descriptive analytical; the results
were obtained using statistical methods of regression and multiple linear correlation. The
variables taken were: solar radiation, precipitation, relative humidity, average temperature and
fruit size in the area under study. The values of the climatic factors were defined with the help
of data obtained from INAMHI from 1984 to 2018; likewise, it was determined that there is no
variation in climate change in the variables mentioned above, except for the average
temperature, which indicates that it increases about 0.03 degrees Celsius with each elapsed
wbaque@uagraria.edu.ec
http://centrosuragraria.com/index.php/revista, Published by: Edwards Deming Institute,
Quito - Ecuador, April, June vol. 1. Num. 13 2022, This work is licensed under a Creative
Commons License, Attribution-NonCommercial-ShareAlike 4.0 International.
https://creativecommons.org/licenses/by-nc-sa/4.0/deed.es
2
year; finally, the influence between solar radiation and fruit size was analyzed, finding that
there is no correlation between the variables. Concluding this research, several authors stated
that, with an adequate integrated management of the crop and soil (nutrition, water, relevant
cultural tasks, etc.), it would be sufficient to increase the size of the fruits of the Tomy Atkins
mango variety.
Keywords: climatic factors, Guayas, mango, Tommy Atkins, solar radiation. 23
Resumen
En este trabajo de investigación se analizó la influencia de la radiación solar sobre el
crecimiento de frutos de mango (Mangífera indica L.) en la provincia del Guayas. Este
proyecto se lo realizó en las siguientes zonas exportadoras de mango variedad Tommy Atkins:
Balzar- Productor A, Nobol: Productor B y C, Palestina Productor D y Cerecita: Productor
E, F y G, donde solo se analizó la información particular de Cerecita. La metodología fue
analítica descriptiva; los resultados se obtuvieron mediante métodos estadísticos de regresión
y correlación lineal múltiple. Las variables tomadas fueron: radiación solar, precipitación,
humedad relativa, temperatura media y calibre de frutos de la zona en estudio. Se definieron
los valores de los factores climáticos con ayuda de datos obtenidos del INAMHI desde 1984
hasta 2018; así mismo, se determinó que no existe variación en el cambio climático en las
variables antes mencionadas, a excepción de la temperatura media, el cual indica que aumenta
unos 0,03 grados centígrados con cada año transcurrido; por último, se analizó la influencia
entre la radiación solar y el calibre de los frutos, encontrándose que no existe correlación entre
las variables. Concluyendo esta investigación, según diversos autores manifestaron que, con
un adecuado manejo integrado del cultivo y del suelo (nutrición, agua, labores culturales
pertinentes, etc.), sería suficiente para incrementar el tamaño de los frutos de mango variedad
Tomy Atkins.
Palabras clave: factores climáticos, Guayas, mango, Tommy Atkins, radiación solar. 23
Introduction
In Ecuador, the cultivation of mango (Mangifera indica L), Tommy Atkins is one of the main
varieties of mango grown, is of great importance due to its nutritional source of vitamins,
mainly rich in beta-carotene and vitamin A, essential for development and growth, favor the
body's immune system, and have antioxidant properties. It also provides vitamin C, necessary
for the growth and repair of body tissues, healing, promotes the absorption of iron, among other
functions; folic acid, especially important in pregnant women for the normal development of
the baby and to prevent anemia. (Vargas-Salgado et al., 2022 p .461)
Mangoes are one of the most demanded fruits worldwide by exporting countries. Due to its
color, flavor and for being a shock resistant fruit, the Tommy Atkins mango is a very desirable
fruit for the international market. In the 2018 season, producers in all export zones indicated
Baque-Bustamante, et al. , 2022
April - June vol. 1. Num. 13 2022
that one of the main production problems was the size of the fruit, since around 50% of the
production, the average fruit weight was less than 333g, that is, an irregular year due to the low
weight of the fruit. (Llamas-Molina et al., 2022)
During the mango harvest season, farmers indicated that the size of the mango fruit is very
small, which caused mango exports to decrease and therefore prices to drop, causing losses to
the export sector. Some farmers attribute this anomaly to low solar radiation and various
climatic factors.
Table 1. Main mango growth stages
Stadium
Description
0
Germination, sprouting, bud development
1
Leaf development (shoot or main stem)
Formation of lateral shoots / tillering (tillering)
Stem longitudinal growth or rosette growth, shoot development
(shoots)/candleshoot (main stem)
Development of harvestable vegetative parts of the plant or vegetative
organs for propagation/embudding
5
Inflorescence (main stem) emergence / spiking
Flowering (main stem)
Fruit development
Coloration or ripening of fruits and seeds
Senescence, onset of dormancy
Novartis and Dachler, 1998
Materials and methods
The work was carried out in exporting areas of Tommy Atkins mango in Guayas, in the
Cerecita area, producers E, F and G.
The research was carried out using descriptive analysis of inferential statistics, correlation and
multiple linear regression, more than one explanatory variable was used; this offered the
advantage of using more information in the construction of the model.
Independent variables
Cerecita Export Zone
Dependent variables
The corresponding data were obtained from the Inamhi database for the last 34 years.
Solar radiation Precipitation Average temperature Relative humidity Fruit sizes:
Fundación Mango Ecuador was asked for the records of the number of boxes exported in the
last 5 years from each producer under study, detailing the quantity of fruit and size.
Outline Of Regression And Linear Correlation Analysis
Multiple linear regression model Y = β0 + β1X1 + - - - - + βpXp + ε
4
Where: β0 is the independent term. It is the expected value of Y when X1, . . . ., Xp are zero.
β1, β2, . . . . , βp are the partial coefficients of the regression:
β1 measures the change in Y for each unit change in X1, holding X2, X3, . . ., Xp constant.
β2 measures the change in Y for each unit change in X2, holding X1, X3, . . ., Xp constant.
βp measures the change in Y for each unit change in Xp, holding X1, . . . , Xp-1 constant.
ε is the observation error due to uncontrolled variables.
Multiple Linear Correlation Model
The multiple correlation coefficient R is a dimensionless parameter, whose absolute value can
be between 0 and 1. The closer it is to unity, the greater the degree of associativity between the
variables and. As it approaches zero, the linear relationship tends to disappear. This coefficient
is calculated with the formula:
Fermin, 2017
Where:
𝑟𝑧𝑥
: correlation coefficient for the
𝑧
and
𝑥
series,
𝑟𝑧𝑦
: correlation coefficient for the
𝑧
and
𝑦
series,
𝑟𝑥𝑦
: correlation coefficient for the
𝑥
and
𝑦
series.
Result
Multiple Linear Correlation
Table 2. Pearson's Correlation: Coefficients of Probabilities
Rad Solar (MJ/M²) Prec (mm) RH (%) Mean Temp. (°C)
Solar Rad. (MJ/M²) 1.00 0.47 0.36 0.03
Prec (mm) 0.13 1.00 0.00 0.00 1.7E-03
HR(%) 0.16 0.93 1.00 1.7E-04
Mean Temp. (°C) -0.36 -0.51 -0.59 1.00
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April - June vol. 1. Num. 13 2022
Variance Of Climatic Factors In Cerecita
Table 3, 4 and 5 show the means obtained when evaluating the variance of the climatic factors
such as: solar radiation, precipitation, relative humidity and average temperature; throughout
the years from 1984 to 2018 in the Cerecita area. According to the analysis of variance, a
coefficient of determination closer to zero was observed in all the variables, so the variables
do not have a relationship between them, that is to say, the climatic factors vary very little
according to the years since they are maintained in a uniform straight line. (See figure 1, 2, 3).
Except for the average temperature, which shows a moderately positive regression in which it
can be seen that as the years go by, the average temperature increases in this area. (See figure
4).
Table 2. Solar radiation - cerecite
Regression statistics
0,4636744
0,1405443
0,1387427
8,019988
Sources
Gl
SC
MC
Fc
F-value
Regression
1
1447,4
1447,4
22,503
0,3033
Waste
2122,56
64,3202
Total
3570
Moise, 2021
Figure 1. Scatter plot for solar radiation at Cerecita.
Moise, 2021
6
Table 3. Precipitation - Cerecite
Regression statistics
0,042139
0,0017176
-0,02847
10,39181
Sources
gl
SC
MC
Fc
F-value
Regression
1
6,3392
6,3392
0,058
0,8100
Waste
3563,6
107,989
Total
3570
Moise, 2021
Figure 2. Scatter plot for precipitation in Cerecita.
Moise, 2020
Table 4. Relative Humidity- Cerecite
Regression statistics
0,039987
0,001599
-0,02866
10,39273
Sources
gl
SC
MC
Fc
F-value
Regression
1
5,7081
5,7081
0,0528
0,819597
Baque-Bustamante, et al. , 2022
April - June vol. 1. Num. 13 2022
Waste
3564.292
108,0088
Total
3570
Moise, 2021
Figure 3. Scatter plot for relative humidity in Cerecita.
Moise, 2021
Table 5. Average temperature - Cerecita
Regression statistics
0,573815
0,629264
0,308938
8,518303
Sources
gl
SC
MC
Fc
F-
value
Regression
1
1175,471
1175,471
16,19966
0,000313
Waste
2394.529
72,56148
Total
3570
Moise, 2021
8
Figure 4. Scatter plot for mean temperature in Cerecita.
Cerecita - Producer E
In the analysis of variance of the fruit size calibers of the Tommy Atkins mango variety for the
Cerecita zone, producer E, it was determined that no statistical significance was found between
solar radiation and the different fruit calibers, since in all the variables the p-value was greater
than 0.05 of significance. Likewise, in the regression and multiple linear correlation,
determination coefficients closer to zero were found, so that the variables have very little
relationship between them or there is no correlation between them in some cases.
For the influence of solar r. on 6-gauge fruit in Producer E., a p-value of 0.5233 was
determined, greater than 0.05 probability, so no statistical significance was found between the
variables.
For the influence of solar r. on 7-gauge fruit in Producer E., a p-value of 0.4660 was
determined, greater than 0.05 probability, so no statistical significance was found between the
variables.
Cerecita- Producer F
In the analysis of variance of the fruit size calibers of the Tommy Atkins mango variety for the
Cerecita zone, producer F, it was determined that no statistical significance was found between
solar radiation and the different fruit calibers, since in all variables the p-value was greater than
0.05 of significance. Likewise, in the regression and multiple linear correlation, determination
coefficients closer to zero were found, so that the variables have very little relationship between
them or there is no correlation between them in some cases.
Cerecita- Producer G
In the analysis of variance of the fruit size calibers of the Tommy Atkins mango variety for the
Cerecita zone, producer G, it was determined that no statistical significance was found between
Baque-Bustamante, et al. , 2022
April - June vol. 1. Num. 13 2022
solar radiation and the different fruit calibers, since in all the variables the p-value was greater
than 0.05 of significance. Likewise, in the regression and multiple linear correlation,
determination coefficients closer to zero were found, so that the variables have very little
relationship between them or there is no correlation between them in some cases.
After having carried out the analysis and interpretation of data in the mango crop, it was
possible to define the values of different climatic factors from 1984 to 2018, for each area
studied, by means of the National Institute of Meteorology and Hydrology (INAMHI, NASA
POWER), climatic factors such as: solar radiation, precipitation, relative humidity and average
temperature. That according to Boada Garcia et al., (2021)who indicates that this is a public
entity of scientific and technical character that serves to obtain, compile, process and publish
data that allow to obtain a detailed knowledge of the meteorological, climatic and hydrological
conditions of the country.
It also indicates that it is necessary to have climatic data from at least 25 years ago in order to
Morgado-Carrasco et al., (2021) indicates that it is necessary to have climatic data from at least
25 years ago in order to be able to carry out a more precise analysis of the alteration of these
data. The respective data tabulation was carried out to determine the variance in the climatic
factors of the different zones studied and it was found that all the factors of the zones under
study had no variance in relation to the time elapsed, except for the mean temperature factor,
which indicates that the temperature rises 0.03 degrees Celsius for each year elapsed.
According to Cifuentes & Amariles, (2017) plant growth and fruit formation are closely related
to the use of solar radiation. Thus, a reduction in light intensity affects above all the induction
of the flower bud, its differentiation, fruit set, size, color and fruit quality and to a lesser degree
growth. Therefore, according to Flórez et al., (2021)the current average global surface
temperature is about 15 degrees Celsius. Between 1906 and 2005, the temperature of the planet
rose by 0.74 degrees. And from 2005 to the present day, this process has experienced an upward
evolution, placing the increase in the temperature of the Earth at approximately one degree
since 1850. This information coincides with the UN, which establishes that solar radiation is a
factor that influences the high land and ocean temperatures, and also states that the high
temperatures we are going through are caused by the wear of the ozone layer due to
contamination by oil combustion processes, machinery, animals, etc.
Emitting the so-called greenhouse gases that raise temperatures in the atmosphere. However,
the results of the research indicate that there was no correlation between the variables solar
radiation and fruit size by size of the Tommy Atkins variety in any of the zones, and that no
statistical significance was found between the variables of fruit size and solar radiation,
possibly due to the climatic conditions of the zone: hours of daily light.
Low solar radiation can cause stress resulting in elongation of internodes, thinner stems, broad
and thin leaves, and poor development of the root system. In addition, it can cause smaller
fruits, due to deficient photosynthesis in the leaves near them; and in general, poor coloration
and reduced skin brightness, according to studies carried out by ( Morgado-Carrasco et al.,
2022)
10
Likewise with Romero et al., (2022) (2014), indicates that sunlight is important for the process
of plant photosynthesis, since the assimilated light is transformed into energy; and according
to what was observed in the study area, the farmer can also provide this energy through an
adequate mineral nutrition, through the correct fertilization according to the previous results of
the soil and plant analysis, as well as the necessary water supply for the optimal growth of the
plant. It also mentions that a plant can grow under Cossoli et al., (2014) It also mentions that
a plant can grow in shaded conditions, in greenhouses or nurseries and be even more vigorous
than one planted in open fields, since these are highly influenced by the integrated management
of the crop, which includes the contribution of elements necessary for the life of the plant and
good agricultural practices.
According to Farhat et al., (2015)Solar radiation not only affects plant development, but can
also affect fruit growth and quality. The high temperatures produced by solar radiation on the
field during the production stage can reach up to 15°C above the air temperature (especially in
temperate zones with dry climates).
Such high temperatures not only cause thermal stress in the plant, but also deteriorate the
quality of the fruit, causing the so-called scald or sunburn. The average temperature of the
study areas was 26.25˚C, according to the information collected from the 34 years, there was
only a variance of 0.03˚C, so it is presumed that this data does not affect the growth of mango
fruits.
Conclusions
According to the results obtained from the research, the following conclusions can be drawn:
Based on the first specific objective it was achieved: to define the values of the main climatic
factors that could affect the mango crop in the Cerecita area (warm climate).
Data were obtained for 34 years from 1984 to 2018 for solar radiation, precipitation, relative
humidity and average temperature for each zone, which were then correlated with fruit size.
Based on the second specific objective, the variance of climate change in each zone was
evaluated; it can be indicated that in the variables such as solar radiation, precipitation and
relative humidity no variation was found over the years, while in the mean temperature
variable, it was determined that its value increased by 0.03˚C for each year elapsed.
This increase was due to an imbalance of these factors, such as light levels, carbon dioxide, air
humidity, water and nutrients, which influenced plant growth and mango fruit size to the point
of affecting crop productivity. Likewise, based on the third specific objective, no statistical
differences or correlation were found between the variables solar radiation and the size of the
Tommy Atkins mango fruit produced in the area under study.
Therefore, it is concluded according to the results obtained that solar radiation does not have a
significant effect on fruit size since the increase of 0.03˚C over the years did not affect the
Baque-Bustamante, et al. , 2022
April - June vol. 1. Num. 13 2022
growth of mango fruit, and that this is mostly affected by the crop management carried out by
each producer, according to the authors cited above.
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